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Infinitesimal in Visual Dictionary in Real Context with Synonyms

Published on December 6th, 2021 | Last updated on December 6th, 2021 by | No Comments on Infinitesimal in Visual Dictionary in Real Context with Synonyms | 75 Views | Reading Time: 2 minutes

Definition of Infinitesimal in visual dictionary and thesaurus and in authentic context and examples with illustrations for GRE candidates and advanced learners of English

/ˌɪn.fɪ.nɪˈtes.ɪ.məl/ (adj)

Definition

extremely small and inconsiderable, bagatelle, minuscule, imperceptible, nominal, microscopic, minute, puny, tiny, negligible, teeny, indiscernible, diminutive

Example

What is the volume of a cylinder with infinite length and infinitesimal radius?

Say the particle is in a cylinder of infinite length and infinitesimal radius. Then the momentum and energy will be quantized along the radius due to confinement i.e. it feels an infinite potential in this direction and would be similar to the particle in a box solutions along the radial directions. However since it doesn’t feel any potential in the longitudinal direction, the momentum along length will be continuous or like a free particle. So basically you have quantization of momentum and energy along different directions.

Source of example: https://www.quora.com/

Antonyms

voluminous, huge, mammoth

Parts of speech

Adverb: infinitesimally


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